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Finding the Fourth Proportional to 20,956.51, 31,434.12 and 6,165.71

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Solution

The fourth proportional to 20,956.51, 31,434.12 and 6,165.71 is: 9,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.51 : 31,434.12 = 6,165.71 : x
  2. Step 2: Convert to fraction form
    20,956.51/31,434.12 = 6,165.71/x
  3. Step 3: Cross multiply
    20,956.51x = 31,434.12 × 6,165.71
  4. Step 4: Simplify right side
    20,956.51x = 193,813,668.03
  5. Step 5: Solve for x
    x = 193,813,668.03/20,956.51
  6. Step 6: Final answer
    x = 9,248.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.